2.2 Solving Two-Step Equations
I can solve two-step equations in one variable.
What is a two-step equation?Requires 2 steps to solve.
◦Involves 2 operationsUses properties of equality and inverse
operations to solve.◦Isolate the variable.
Ex:
How to SolveIdentify operationsUse inverse operations to “undo” themUndo operations in reverse order
Ex: 2x+3 = 15◦Multiplication and addition
Undo ◦Subtract 3: 2x = 12◦Divide by 2: x = 6
Solution: x = 6
Solving with 2 Terms in the Numerator
Operations◦Subtraction and division
Undo◦Multiply by 3: x – 7 = -36◦Add 7: -29
Solution: x = -29
Practice-t + 8 = 3
◦t = 5
◦a = 12
◦x = 26
Using an Equation as a ModelAn advertisement for community service
opportunities uses half a sheet of paper per ad and 5 sheets for a title banner. If you have 18 sheets, how many ads can be made?
What do we know?What are we looking for?Write an equation.
Solve.a = 26
AssignmentODDS ONLYP.91 #11-33, 39-45, 51